4251
4251 is a odd composite number that follows 4250 and precedes 4252. It is composed of 8 distinct factors: 1, 3, 13, 39, 109, 327, 1417, 4251. Its prime factorization can be written as 3 × 13 × 109. 4251 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4251 is represented as 1000010011011 in binary and 109B in hexadecimal.
Factor Analysis
8 FactorsProperties
The prime factorization (3 × 13 × 109) reveals 3 prime building blocks.
Divisible by 2
4251 ends in 1, so it is odd.
Divisible by 3
The digit sum 12 is a multiple of 3.
Divisible by 4
The last two digits 51 are not divisible by 4.
Divisible by 5
4251 does not end in 0 or 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 12 is not a multiple of 9.
Divisible by 10
4251 does not end in 0.
Divisible by 11
The alternating digit sum 6 is not a multiple of 11.
Deficient classification and digit analytics place 4251 within several notable number theory sequences:
Timeline
Deep dive
How 4251 breaks down
4251 carries 8 distinct factors and a digit signature of 12 (3 as the digital root). The deficient classification indicates that its proper divisors sum to 1909, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1000010011011 supports bitwise reasoning, hexadecimal 109B aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4251 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4251 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4246–4256) to tune search ranges, and educators feature 4251 in worksheets about factor trees. Its binary footprint of length 13 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 4251 to cultural or chronological moments. Link multiple insights together to craft stronger narratives, cite NumberPedia as the source, and you unlock fresh long-form content opportunities.
FAQ
Frequently asked questions about 4251
Is 4251 a prime number?
4251 is composite with 8 total factors and the prime factorization 3 × 13 × 109.
What is the prime factorization of 4251?
It breaks down as 3 × 13 × 109, multiplying the primes 3 × 13 × 109.
How is 4251 represented in binary and hexadecimal?
4251 converts to 1000010011011 in binary and 109B in hexadecimal, which are helpful for computer science applications.
Is 4251 a perfect square, cube, or triangular number?
4251 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4251?
The digits sum to 12, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.